Subject and Specialty Name: Mathematics (Specialty Code 070 100)

Application conditions: 1. Accept immunity. 2. Take the national unified entrance examination.

1. The major and research direction of the two disciplines covered by the first-level disciplines of this unit;

Basic mathematics: algebra (Lie algebra, algebraic K theory, group theory, algebraic number theory, algebraic representation theory, commutative algebra) analysis (complex analysis, functional analysis, Clifford analysis)

Dynamic system and ergodic theory (topological dynamic system, ergodic theory, differential dynamic system, Hamiltonian system, qualitative theory of differential equations, stochastic dynamic system)

Differential geometry (differential geometry, complex geometry, geometric analysis)

Partial differential equations (elliptic equations, parabolic equations, geometric and physical equations)

Computational mathematics: mathematical modeling, numerical analysis and numerical algebra, numerical solution of differential equations, optimization, large-scale scientific calculation, computer-aided geometric design, application of mathematics in biology, information, materials and other disciplines,

Applied mathematics: graph theory and combination, inverse problem of differential equation, integrable system, qualitative theory of partial differential equation and its application, computer graphics and image processing.

Operations research and cybernetics: optimization theory and algorithm, logistics scheduling, data analysis and modeling.

Biomathematics: population dynamics, mathematical epidemiology, diffusion and trend theory

Mathematical physics: quantum field theory, string theory, integrable system

Probability statistics: stochastic analysis, computational finance, statistics II. Graduation employment direction: Universities, scientific research institutions, companies and enterprises cultivate teaching, scientific research and applied talents with solid theoretical foundation and professional knowledge system.

Master's research direction covers the bibliography of master's examination subjects

1. Power system

2. Geometry and topology

3. Mathematical physics

4. Algebra and number theory

5. Differential equation

6. Modern analysis

7. Scientific calculation

8. Linear design

9. Biological Mathematics

10. Combined network

1 1. Computer graphics and images

12. Image Processing 10 1 Ideological and Political Theory

20 1 English 1

620 mathematical analysis

842 linear algebra and analytic geometry

1. Mathematical analysis: the concepts and properties of limit, continuity, differential and integral; (quasi) differential mean value theorem, Taylor theorem and their applications; The concept and properties of convex function, extreme value problem and implicit function theorem; Newton-Leibniz, Green, Gauss and Stokes formulas and their applications in physics; Discrimination and properties of series of uniformly convergent function terms: g function and b function; Common properties of Fourier series

2. Linear algebra: determinant, matrix, linear mapping and linear transformation in linear space, quadratic form and inner product.

3. Analytic geometry: vector algebra, plane and straight line, common surface 1. Course of Mathematical Analysis, Chang Gengzhe and Shi Jihuai, Higher Education Press, 2003.

2. Linear Algebra, Li Shangzhi, Higher Education Press.

3. A Concise Course of Analytic Geometry, Wu Guanglei, Tian Chou, Higher Education Press, 2003.

The form and content of the second interview

The total score of the second interview is 300 points, including 200 points for written test and 0/00 for interview.

Coverage of retest (written test) questions:

Real variable function: Lebesgue measure on r n: the concept and basic properties of measurable function; Integrals of measurable functions and their Lebesgue integrals: control convergence theorem of integrals, Levi lemma and Fatou lemma; Product measure and Fourier theorem; Monotone function, bounded variation function and fully continuous function.

Complex variable function: differentiability and analysis, cauchy-riemann equations, Cauchy integral theorem, Cauchy integral formula, maximum modulus principle, Schwartz lemma, uniqueness theorem of analytic function, harmonic function, power series and Laurent series, isolated singularity, residue and its application.

Abstract algebra: group: what is the decomposition of group, subgroup and coset, the concepts of cyclic group, normal subgroup and quotient group, the basic theorem of homomorphism, permutation group and the role of group in set. Ring and field: basic concepts, ring homomorphism (definition, ideal, quotient ring, first isomorphism theorem, prime ring and prime field, China remainder theorem, prime ideal and maximal ideal), concepts and main examples of unique factorization whole ring and Euclidean whole ring, polynomial ring over field, simple algebraic extension of field, preliminary knowledge of finite field. Basic requirements: the emphasis is on the understanding of basic concepts and their important examples, knowing the most important theorems and their simple applications, and the requirements for problem-solving skills are not high.

Differential geometry: curve theory in three-dimensional Euclidean space, including curvature, torsion and the basic theorem of curve theory; The basic theory of three-dimensional Euclidean space surface includes the first basic form, the second basic form, principal curvature, average curvature and Gaussian curvature.

Subject Name: Master of Finance (Professional Degree)

Professional code 025 100

Relying on the academic tradition of combining science with practice and profound mathematical skills, and with the support of many alumni at home and abroad, the School of Mathematical Sciences of the University of Science and Technology of China has set up a master's degree (professional degree) in financial computing finance since 20 12, and plans to enroll 30 students.

The main research fields include: financial engineering, risk measurement and calculation, portfolio and programmed trading; The goal is to train senior compound financial talents who fully understand financial theory and market demand, master the application of quantitative analysis in investment optimization, risk management and product creation, meet the needs of different fields in the capital market, and train senior financial management talents for China and the world.

The direction of graduation employment is mainly for domestic and foreign financial markets, such as securities companies, fund companies, futures companies, banks, insurance and so on.

Master's research direction covers the bibliography of master's examination subjects

1. Financial calculation

2. Portfolio optimization

3. Financial engineering

4. Risk measurement 10 1 ideological and political theory

204 English II

303 Mathematics III

43 1 financial integration

Refer to related subjects of the School of Management.

Refer to related subjects of the School of Management.

The form and content of the second interview

Postgraduate entrance examination business courses and English scores were brought into the re-examination results, with a full score of 400, accounting for 57%. 300 points for the second interview, and the second interview score accounts for 43%.

Re-examination content: including professional quality and comprehensive quality, to examine the candidates' mastery of theoretical knowledge of this major, especially their mastery and understanding of the basic knowledge and concepts of this major, their understanding of the development trend of this subject, and their development potential in this professional field, etc. Candidates who take part in the second interview can provide all kinds of materials that can prove their various qualities and potentials. Remarks: Only on-the-job orientation is required.